Engineering Mathematics (Vector Calculus, Laplace Transforms, Differential Equations, Complex Integration)

From 25.73 £ /h

I hold a PhD in Mechanical Engineering and currently work as a post-doctoral researcher in the Aerospace Engineering Faculty at TU Delft (Delft University of Technology).
Key topics that I teach for this course include:
• Calculus: Differentiation & integration, Multivariable calculus
• Linear Algebra: Matrices, vectors, systems of equations, Eigenvalues and eigenvectors
• Differential Equations: First- and second-order ODEs, Laplace transforms
• Complex Numbers: Polar form, Euler’s formula
• Vector Calculus: Gradient, divergence, curl, Line and surface integrals
• Series & Transforms: Taylor series, Fourier series

I understand that not all teachers excel in teaching Engineering and Mathematics courses and explaining their importance to students. Courses with strong mathematical backgrounds may become boring for students who lack a solid mathematical basis. To address this, I take a student-centered approach, starting from the basics to actively engage all students, including those with weaker mathematical backgrounds. I also provide practical examples to demonstrate the real-world significance of what they are learning, inspiring and fostering their interest in the subject matter.

If you have any additional questions before starting a class, please feel free to ask me. I am here to assist! :)

Location

Online from Netherlands

About Me

I am currently a postdoctoral researcher at Delft University of Technology

I like sharing my knowledge with others. I believe that teaching makes the knowledge I have acquired as a researcher much more valuable. In my idea, successful teachers have several qualities including knowledge, enthusiasm, and student-based teaching methods.

Education

PhD: Mechanical Engineering, Applied Design, 2016
Masters degree: Mechanical Engineering, Applied Design, 2011
Bachelors degree: Mechanical Engineering, Solid mechanics, 2008

Experience / Qualifications

My university teaching experience:
- Lecturer of Mechanical Engineering Design I, Materials Science, Dynamics, Engineering
Mathematics, Engineering Drawing I and II, Mechanics of Materials I and II
- Teaching assistant of Statics, Linear vibration, and Engineering drawing

Age

Adults (18-64 years old)

Seniors (65+ years old)

Student level

Beginner

Intermediate

Advanced

Duration

60 minutes

90 minutes

120 minutes

The class is taught in

English

Persian

Skills

Math

Calculus

Mechanical engineering

Reviews

Availability of a typical week

(GMT -04:00)

New York

Online via webcam

Mon

Tue

Wed

Thu

Fri

Sat

Sun

00-04

04-08

08-12

12-16

16-20

20-24

LS-DYNA, ANSYS, MATLAB, ABAQUS, SolidWorks, and Finite Element Modelling (FEM) for Mechanical Engineering Design

24.84 £ /h

I hold a PhD in Mechanical Engineering and currently, I am working as a post-doctoral researcher in the Aerospace Engineering Faculty at TU Delft (Delft University of Technology).

I have extensive experience in teaching various Mechanical design packages, including LS-DYNA, ANSYS, APDL programming, ABAQUS, MATLAB, SolidWorks, Cura, and Symbolic MATLAB.

Some of the finite element modeling and numerical simulations I have worked on include:
- Multiscale finite element modeling for fatigue crack propagation in porous materials.
- Analysis of multiple-layer sandwich structures' resistance to bird-strike impact [Read paper].
- Investigation of debonding propagation in aluminum and glass/epoxy composite joints under fatigue loading using Fracture Mechanics principles.
- Computational prediction of the fatigue behavior of additively manufactured porous metallic biomaterials.
- Study of the effect of material type, stacking sequence, and impact location on pedestrian head injury in collisions.

If you have any additional questions before starting the class, please don't hesitate to ask me. I am here to help! :)

Systematic Reasoning and Logical Thinking for Computer Science

25.73 £ /h

You will learn Systematic Reasoning & Logical Thinking which is a requirement for entering Computer Science program in many universities.
The book “Delftse Foundations of Computation” especially its second chapter will be the main source of our lesson, but other more in-depth books will be also covered if you want to improve even further on logical thinking.
The topics in our lesson include:
• Propositional Logic: Logical operators; Precedence rules; Logical equivalence; Implications in English; Exclusive or; Universal operators; Classifying propositions
• Boolean Algebra: Substitution laws
• Logic Circuits: Logic gates; Combining gates to create circuits; From circuits to propositions; Disjunctive Normal Form; Binary addition.
• Predicate Logic: Predicates; Quantifiers; Tarski’s world and formal structures;
• Deduction: Valid arguments and proofs; Proofs in predicate logic

If you have any additional questions before starting a class, please feel free to ask me. I am here to assist! :)

Benoit

5.0

(40)

I am a qualified and experienced mathematics tutor. Graduated from the Free University of Brussels in 2011, I started my career by teaching remedial courses in different schools in Brussels. I then specialized in individual academic support by following educational training at the Harvard Graduate School of Education. I have been giving private mathematics lessons daily for over ten years.

The students who follow my private lessons benefit from personalized support. The first session is devoted to an in-depth assessment of the student's mathematical knowledge. The objective is to detect its weak points and understand their origin in order to adapt my courses to its needs. I develop a tailor-made remediation program for each of my students aimed at filling each of their gaps. Over the course of the sessions, the student builds a solid foundation for learning and regains self-confidence. At the same time, I help him acquire a work methodology that allows him to gradually become autonomous in his studies.

I have a thorough knowledge of the mathematics curriculum for middle and high school (from 6th to 12th grade). I am also qualified to support students in preparing for international exams such as the SAT, the OMPT, and the International Baccalaureate (IB) in all its variations: Analysis and Approaches (AA SL/HL) and Applications and Interpretation (AI SL/HL).

Throughout my years of training, I studied and developed numerous techniques that facilitate learning mathematics. The strength of my teaching approach lies in my ability to explain, in simple terms, anything a student finds complicated. I am passionate about this profession because it offers me the opportunity to guide struggling students toward success. It is a true pleasure to see them progress and rediscover their connection with the fascinating world of mathematics.

I offer private tutoring in Paris (at the student's home) or remotely (online). My online lessons take place on an interactive whiteboard. This whiteboard is specifically designed to facilitate student/teacher interaction online. Thanks to this teaching tool, my online lessons are just as effective as in-person lessons. The student only needs an internet connection and a computer, tablet, or smartphone to participate.

Raef

5.0

(40)

Experienced over 18 years, I give private lessons in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Chemistry - Biology, Geology to students of French or international program (in English) of Terminales, Bac, 1ère, Second, Brevet, competitions and medical university preparatory classes or 1st and 2nd university year either at home or by internet online by virtual class method of specific shared interactive whiteboard.
Help with CNED homework.
For more information, do not hesitate to contact me, guaranteed response in a few minutes up to 10 hours maximum.

David

5.0

(40)

I am a Math and Physics tutor with over 10 years of experience, backed by an MIT background and training from top technical schools. My lessons are unmatched, blending charisma, passion, and innovative teaching methods to create a magical learning experience. I focus on highly personalized, one-on-one sessions, understanding each student’s unique mindset to unlock their full potential.

Teaching is my true passion! I genuinely enjoy sharing my knowledge and skills with those in need. My friendly and supportive attitude allows me to establish a connection with every student right from the first lesson. So, if you're feeling demotivated and down, don't worry! I'm here to help you find the motivation you need for both academic and personal success.

If you have any questions, please feel free to contact me anytime here. I will respond to you as soon as possible!

Jeremy

5.0

(40)

Passionate & empathetic teacher. I have a Master's in Physics with honors from the University of Leicester (which was featured at the time as a top 5 Physics university in the UK by The Guardian) and a - french - European School diploma in which I achieved 90% in Physics and 85% in Maths.

Helping others understand difficult topics and skills is something that I am very passionate about as an empathetic person. I have 5 years of experience teaching Physics and Maths to kids from unprivileged backgrounds both in a homework schools as well as via private teaching.

In my classes, I aim to:

- help students achieve better grades in exams/tests in all branches of Physics & Maths
- clearly explain and break down topics
- give context and or example applications of topics (to improve understanding and memorization)
- help with ADHD & other learning disabilities
- give practical advice for university applications (eg. UCAS in the UK) and discuss the exciting Physics research/work and projects you can work on later in life.

Physics has a plethora of useful and fascinating applications, from the detection of Gravitational Waves and Gamma-Ray Bursts to the development of novel Medical Imaging techniques and Nano-technology (eg: smartphones). It is a subject that I am very passionate about and I hope to make use of my years of experience and extensive knowledge to help you understand and love the subject! My lessons will always be tailored to the individual needs of the student, so please do not hesitate to contact me if you have questions!

Amin

5.0

(40)

Struggling with math, physics, or chemistry? You're not alone — these subjects are hard, and classroom explanations are rarely enough.
I offer personalized tutoring for middle school, high school, and early university students following the French Mission curriculum, the Moroccan national curriculum, or the international baccalaureate.
Topics covered:

Mathematics: algebra, geometry, calculus, trigonometry, probability
Physics: mechanics, electricity, optics, thermodynamics
Chemistry: organic, inorganic, stoichiometry, reactions

My approach:
I don't re-explain the textbook — I identify exactly where your understanding breaks down and fix it from there. Each session is built around your specific difficulties, not a preset program.
I completed CPGE (Classes Préparatoires aux Grandes Écoles) in Mathematics and Physics before graduating as a State Engineer — I know these subjects at an advanced level and I know where students typically get lost.
Individual and small group sessions available. Online (worldwide) in French, Arabic, or English.

Mariem

5.0

(40)

I am an experienced teacher, particularly in academic support and homework monitoring, whether online or in person.
I provide private lessons for primary school four sessions per week (Math, Reading and comprehension, French, Written expression).
I am experienced in teaching the Arabic language to non-Arabic speakers using booklets known as the volume of Medina series...

Prashil

5.0

(40)

Welcome to my Foundation Course in Science and Maths, specially designed for primary, secondary, and high school students in Amsterdam. This course aims to build a strong foundation in these critical subjects, ensuring students excel academically and develop a genuine love for learning.

My teaching approach is focused on making learning enjoyable and engaging. I incorporate interactive activities and hands-on experiments to bring Science and Maths concepts to life. By involving students in these dynamic learning experiences, I aim to transform abstract concepts into tangible understanding. Each session is thoughtfully designed to keep students interested and motivated, minimizing fatigue and maximizing retention.

I believe in simplifying complex topics, breaking them down into easy-to-understand segments. This approach helps students grasp and retain challenging concepts with ease. Techniques such as mnemonic devices, visual aids, and real-life examples are integral to my method, ensuring that formulas and concepts are not just memorized, but truly understood.

Regular assessments are conducted to track student progress and identify areas needing improvement. These tests also prepare students for their school exams, ultimately boosting their confidence. I understand the importance of keeping parents informed and involved in their child’s academic journey. That's why I provide weekly reports detailing their child’s progress, strengths, and areas for improvement. This continuous feedback loop ensures that parents are aware of their child’s development and can support their learning at home.

Encouraging words and positive feedback are integral to my teaching method. I strive to build students' self-confidence and to instill a love for learning through positive reinforcement. Setting achievable goals for each student, I celebrate their successes and motivate them to strive for excellence. This goal-setting approach not only drives academic success but also fosters a sense of accomplishment and self-worth.

As a tutor, my satisfaction comes from seeing my students excel and reach their full potential. My ultimate goal is to empower students with the knowledge and skills they need to succeed in Science and Maths. I am always available to support my students, offering additional help and resources as needed to ensure their success.

I foster an open environment where students feel comfortable asking questions, no matter how simple they may seem. This curiosity drives deeper understanding and encourages a proactive approach to learning. By incorporating games, puzzles, and interesting activities, I ensure that learning remains fun and engaging, keeping students excited about the subjects.

Join my Foundation Course in Science and Maths and watch your child develop a strong foundation, confidence, and a genuine love for these essential subjects. Let’s work together to achieve academic excellence and make learning a fun and rewarding experience. “Excel in Subjects, Soar in Confidence!”

Inês

5.0

(40)

I offer clear, structured tutoring in Mathematics, Chemistry, and Physics, supporting students with both content mastery and exam success at Advanced Subsidiary and Advanced Level (AS and A-Level), for both Edexcel and Cambridge. My lessons focus on clear explanations and the core ideas behind each topic, so things actually make sense.

For exam preparation, I shift focus to exam technique: you'll learn how mark schemes work, how answers are graded, and how to phrase responses clearly so you don’t lose marks because of wording, even when you know the content.

Samsideen

5.0

(40)

Hello! My name is Samsideen. I am a passionate and dedicated professional educator specializing in Mathematics, Physics, and Chemistry across various international curricula, including SAT, IGCSE, and A/AS Levels.
I hold a bachelor’s degree in Metallurgical and Materials Engineering, which gives me a deeply practical and analytical understanding of mathematical and scientific principles. To complement my engineering background with professional teaching practices, I earned a Postgraduate Diploma in Education (PGDE) in Mathematics. Additionally, I am continually expanding my pedagogical skills and am currently undertaking a specialized program in Special Needs Education at the University of Lagos (Unilag) to ensure my teaching is inclusive and accessible to all types of learners.
Over my 7+ years in education, I have taught in top-tier international school environments, such as Binta International School, as well as various leading online tutoring platforms. My goal is always to demystify complex STEM subjects and help students build the confidence they need to excel in their examinations and schoolwork.
My Teaching Methodology & Techniques
I believe that no two students learn the same way, which is why my teaching approach is highly personalized, interactive, and student-centered:
Conceptual Clarity over Memorization: I focus heavily on helping students understand the "why" behind mathematical formulas and scientific concepts rather than just memorizing steps. Whether we are breaking down complex equations or analyzing physical laws, I use real-world engineering and practical examples to bring the theory to life.
Structured Interactive Tools: For online lessons, I utilize high-quality digital whiteboards, optimized lighting configurations, and clear visual setups to replicate a live classroom feel perfectly. This ensures that our sessions are highly engaging, and steps can be visually tracked in real-time.
Exam-Focused Preparation: For students preparing for standardized international tests like the SAT or IGCSE, I employ a data-driven approach. We work through past questions, break down marking schemes, and master time-management techniques so there are no surprises on exam day.
Patience and Adaptability: Drawing from my training in special education, I adapt my pacing to match the student's unique learning curve. I create a supportive, judgment-free environment where questions are always welcomed and mistakes are viewed as valuable milestones in the learning process.
Whether you are looking to boost your grades, prepare for an upcoming international exam, or fill in foundational gaps in math and science, I am here to guide you every step of the way. Let’s work together to achieve your academic goals!

Alessandro

5.0

(40)

I offer personalized tutoring and support in Mathematics, Physics, Chemistry, and Science for middle school, high school, and early university students.

My goal is to make scientific subjects accessible and engaging. Rather than just memorizing formulas, my approach focuses on understanding the core concepts so that problem-solving becomes logical and intuitive.

Whether you need to catch up, build your confidence, or deepen your understanding of the material, I am here to help you reach your academic goals in a relaxed and supportive environment.

Baia

5.0

(40)

Many students lose confidence in math during the school year due to stress, fast-paced classes, or gaps in understanding.
This summer program helps students rebuild confidence, strengthen fundamentals, and prepare calmly for the next academic year.

This program is designed for students who want to:
- catch up on difficult topics
- prepare for the next school year
- improve grades and confidence
- build strong problem-solving skills
- prepare for exams and entrance tests

Lessons are adapted individually for each student and explained step-by-step in a clear and patient way.
I focus not only on solving exercises, but also on helping students truly understand concepts and think independently.

After the first lesson, I create a personalized study plan based on the student’s level, goals, and areas that need improvement. Lessons are interactive, organized, and supportive, with homework and additional practice materials when needed.
Suitable for:
- Middle school students
- High school students
- IB students
- Students preparing for exams

! ! ! Summer availability is limited to ensure individual attention for each student.

Peter

5.0

(40)

I have experience teaching high school mathematics as well as ESL (English as a Second Language), and I genuinely enjoy helping students build confidence, improve their skills, and develop a strong understanding of key concepts. I have worked with students in both Juku and Eikaiwa environments, supporting learners with different abilities, learning styles, and academic goals. These experiences have taught me the importance of adapting lessons to each student's individual needs and ensuring that learning remains both effective and enjoyable.
___________________________________________________________________
.木内マミ
.thanks for your mesage! I'm so glad to have her a wonderful
.lesson with you tutor peter! see you next Tuesday!

木内マミ
.tuter peter! thank you for telling me about the class.
. yukimi enjoys your class. see you next week.

. Masumi
. Hi Peter sensei, Seina’s older brother is currently competing
. in Formula 3, and we went to Monaco this time to support him.
. Thank you for your continued support. We appreciate all your
. help and look forward to continuing lessons with you.
____________________________________________________________________

I am a native English speaker, an Australian citizen, and hold a Bachelor of Mathematical Sciences together with a TEFL English Certificate. My academic background in mathematics enables me to explain challenging concepts in a clear, logical, and structured way, while my English teaching experience allows me to communicate effectively with students whose first language is not English. This combination is particularly valuable for students who wish to improve both their mathematical understanding and their confidence using English in an academic setting.

My teaching approach focuses on clear, step-by-step explanations, practical examples, and creating a supportive and engaging learning environment. I believe that every student can improve with the right guidance, encouragement, and consistent practice. I am particularly effective at working with students who may be struggling with mathematics, lacking confidence, or preparing for important school examinations. My goal is not only to help students achieve better academic results but also to develop strong problem-solving skills, logical thinking, and independent learning habits that will benefit them throughout their education.

Lessons are tailored to each student's learning pace, strengths, and areas for improvement. I regularly check understanding, encourage questions, and provide constructive feedback so that students can continue progressing with confidence. Whether a student requires assistance with homework, exam preparation, algebra, geometry, trigonometry, calculus, statistics, or general mathematics improvement, I strive to make lessons productive, engaging, and easy to follow.

I understand that many students can feel anxious or overwhelmed when studying mathematics. For this reason, I place a strong emphasis on patience, positive reinforcement, and building confidence through achievable goals and steady progress. I take pride in helping students overcome challenges, develop a more positive attitude toward learning, and discover that mathematics can be both understandable and rewarding.

.** I am available in your time zone. ** ** Recommend 30 minute lessons **

Click -> "Contact Peter" button and we can have a discussion about your requirements and how I can assist you.

Thank you for your time and consideration. I would be delighted to support your learning journey and help you achieve your academic goals. I look forward to meeting you and helping you reach your full potential in mathematics and academic English.

Expert Math Tutor

Feten

5.0

(40)

Mathematics doesn't have to be difficult!

I provide personalized math lessons designed to help students understand concepts clearly and solve problems with confidence.

My teaching method focuses on simplifying complex topics using practical examples and step-by-step explanations.

Together we will:

✔ Strengthen mathematical foundations

✔ Improve logical thinking

✔ Solve homework and practice exercises

✔ Prepare for exams with effective strategies

✔ Build confidence in mathematics

Every lesson is adapted to your learning pace and objectives, making mathematics more enjoyable and less stressful.

Abdullah

5.0

(40)

I am an internationally certified English teacher with TEFL and TESOL certificates from London, and I have more than 6 years of comprehensive experience in teaching English to all ages (from children to professionals and adults).

Throughout my career, I have helped hundreds of students break through the barrier of fear and speak fluently, pass language proficiency tests, and develop their language skills for work or travel.
What makes my lessons special?

Completely customized: to suit your age, current level, and goal (conversation, foundation, business English, or test preparation).

An interactive and fun approach: We completely move away from traditional rote learning and focus on real practice and correct pronunciation.

Flexibility and expertise: High ability to simplify information for young children, support academic students, and develop the skills of professionals.

Ready to begin your journey towards fluency? Book your session now and let's reach your goals together!

Rita

5.0

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I am a certified professional teacher with over 8 years of experience in simplifying complex subjects for students at all levels. I have designed this course as a practical, personalized guide to help you master Biochemistry, Mathematics, and English.

In my Biochemistry lessons, you will learn to break down complex molecular and chemical processes into easy-to-understand concepts. For Mathematics, we will focus on building a strong foundation, solving problems logically, and developing the confidence to handle any equation. In English, I provide a tailored approach to grammar, writing, and communication, ensuring you can express yourself clearly and effectively. Whether you are preparing for exams or looking to strengthen your academic foundation, I am here to provide the structured, expert guidance you need to succeed.